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Finding the Fourth Proportional to 42,098.32, 58,096 and 22,978.24

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Solution

The fourth proportional to 42,098.32, 58,096 and 22,978.24 is: 31,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,098.32 : 58,096 = 22,978.24 : x
  2. Step 2: Convert to fraction form
    42,098.32/58,096 = 22,978.24/x
  3. Step 3: Cross multiply
    42,098.32x = 58,096 × 22,978.24
  4. Step 4: Simplify right side
    42,098.32x = 1,334,943,831.04
  5. Step 5: Solve for x
    x = 1,334,943,831.04/42,098.32
  6. Step 6: Final answer
    x = 31,710.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.